Search a number
-
+
26823488 = 261133709
BaseRepresentation
bin110011001010…
…0101101000000
31212110202220112
41212110231000
523331322423
62354530452
7443665406
oct146245500
955422815
1026823488
111416097a
128b96a28
1357321b3
1437c3476
15254ca78
hex1994b40

26823488 has 28 divisors (see below), whose sum is σ = 53713380. Its totient is φ = 13289472.

The previous prime is 26823487. The next prime is 26823491. The reversal of 26823488 is 88432862.

It can be written as a sum of positive squares in 2 ways, for example, as 2930944 + 23892544 = 1712^2 + 4888^2 .

It is a super-2 number, since 2×268234882 = 1438999016972288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26823487) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5378 + ... + 9086.

It is an arithmetic number, because the mean of its divisors is an integer number (1918335).

Almost surely, 226823488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26823488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26856690).

26823488 is an abundant number, since it is smaller than the sum of its proper divisors (26889892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26823488 is a wasteful number, since it uses less digits than its factorization.

26823488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834 (or 3824 counting only the distinct ones).

The product of its digits is 147456, while the sum is 41.

The square root of 26823488 is about 5179.1396968995. The cubic root of 26823488 is about 299.3448220329.

The spelling of 26823488 in words is "twenty-six million, eight hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1808 3616 3709 7232 7418 14836 29672 59344 118688 237376 419117 838234 1676468 3352936 6705872 13411744 26823488